All Figures

$\begin{figure} \par\includegraphics[width=15cm,clip]{4464fig1.eps} \end{figure}$ Figure 1: Upper panel: observational data for the star-forming clusters $\rho$ Ophiuchi, Serpens, and Taurus. Circles: Class 0, triangles: Class 1, diamonds: Class 2, squares: Class 3, asterisks: prestellar cores. The sources of the observational data are given in the text. Other panels: the MSTs of the same regions for all YSOs (second row), prestellar cores (third row), and Class 1, 2, 3 objects (fourth, fifth, and sixth row). For Serpens, no data on prestellar cores and Class 3 objects are available.
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In the text

$\begin{figure} \par\includegraphics[width=16.8cm,clip]{4464fig2.eps} \end{figure}$ Figure 2: The 2D minimum spanning tree for the YSOs of model M6k4a projected into the xy-plane at a star formation efficiency of 10%, 20%, 30% and 40% ( from left to right).
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In the text

$\begin{figure} \par\includegraphics[width=16.8cm,clip]{4464fig3.eps} \end{figure}$ Figure 3: The clustering parameters $\bar{s}$ , $\bar{m}$ , Q, and $\xi$ for all models at a SFE of 10% (upper panel) and 40% (lower panel), plotted versus the Mach number. Shown are the values for the projection into the xy-, xz-, and yz-plane (diamonds, triangles and squares, respectively), and for the 3D analysis (filled circles). The horizontal lines show the corresponding values from the observational data for Serpens, Taurus, Chamaeleon I, IC 348, and $\rho$ Oph ( from left to right).
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In the text

$\begin{figure} \par\includegraphics[width=16.5cm,clip]{4464fig4.eps} \end{figure}$ Figure 4: The temporal evolution of the 3D clustering parameters $\bar{s}$ , $\bar{m}$ , Q, and $\xi$ for one model (M6k4a), dotted: Class 0, dashed: Class 1, dash-dotted: Class 2/3, solid line: entire cluster.
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In the text

$\begin{figure} \par\includegraphics[width=16.5cm,clip]{4464fig5.eps} \end{figure}$ Figure 5: The temporal evolution of the clustering parameters $\bar{s}$ , $\bar{m}$ , Q, and $\xi$ of the model M6k4a for the 3D analysis (solid line) and for the projection into the xy (dotted), xz (dashed), and yz plane (dash-dotted).
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In the text

$\begin{figure} \par\includegraphics[width=16.8cm,clip]{4464fig6.eps} \end{figure}$ Figure 6: The MST of the Taurus cluster as a whole ( left panel) and separated at $l+ 2 \sigma _{\rm m}$ , $l+ \sigma _{\rm m}$ , and $l+ 0.5 \sigma _{\rm m}$ ( from left to right).
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In the text

$\begin{figure} \par\includegraphics[width=17cm,clip]{4464fig7.eps} \end{figure}$ Figure 7: The clustering parameters $\bar{s}$ (diamonds), $\bar{m}$ (triangles), Q (squares), and $\xi$ (asterisks; scale on the right-hand axis) of the largest remaining subcluster at different levels of separation. The numbers along the abscissa give the number of YSOs contained in the particular subcluster.
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In the text

$\begin{figure}\par\resizebox{8.8cm}{!}{\includegraphics{4464fig8.eps}} \end{figure}$ Figure A.1: Randomly distributed data points and the area they span according to different definitions (circle, rectangle, convex hull).

In the text

$\begin{figure} \par\resizebox{8.8cm}{!}{\includegraphics{4464fig9.eps}} \end{figure}$ Figure B.1: Mean edge lengths $\bar{m}$ for 200 randomly created 2D sets of points ( $3 \le n \le 400$ ), normalised with the factor B.2 (crosses) and B.1 (diamonds), respectively, plotted versus the number of points.

In the text

$\begin{figure}\par\resizebox{8.8cm}{!}{\includegraphics{4464fi10.eps}} \end{figure}$ Figure C.1: The relation between the axis ratio a/b of an elliptical area and the elongation $\xi$ , with the $1 \sigma$ error also indicated.

In the text

$\begin{figure} \par\includegraphics[width=16.8cm,clip]{4464fig2.eps} \end{figure}$	Figure 2: The 2D minimum spanning tree for the YSOs of model M6k4a projected into the xy-plane at a star formation efficiency of 10%, 20%, 30% and 40% ( from left to right).
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$\begin{figure} \par\includegraphics[width=16.5cm,clip]{4464fig4.eps} \end{figure}$	Figure 4: The temporal evolution of the 3D clustering parameters $\bar{s}$ , $\bar{m}$ , Q, and $\xi$ for one model (M6k4a), dotted: Class 0, dashed: Class 1, dash-dotted: Class 2/3, solid line: entire cluster.
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$\begin{figure} \par\includegraphics[width=16.5cm,clip]{4464fig5.eps} \end{figure}$	Figure 5: The temporal evolution of the clustering parameters $\bar{s}$ , $\bar{m}$ , Q, and $\xi$ of the model M6k4a for the 3D analysis (solid line) and for the projection into the xy (dotted), xz (dashed), and yz plane (dash-dotted).
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$\begin{figure} \par\includegraphics[width=16.8cm,clip]{4464fig6.eps} \end{figure}$	Figure 6: The MST of the Taurus cluster as a whole ( left panel) and separated at $l+ 2 \sigma _{\rm m}$ , $l+ \sigma _{\rm m}$ , and $l+ 0.5 \sigma _{\rm m}$ ( from left to right).
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$\begin{figure} \par\includegraphics[width=17cm,clip]{4464fig7.eps} \end{figure}$	Figure 7: The clustering parameters $\bar{s}$ (diamonds), $\bar{m}$ (triangles), Q (squares), and $\xi$ (asterisks; scale on the right-hand axis) of the largest remaining subcluster at different levels of separation. The numbers along the abscissa give the number of YSOs contained in the particular subcluster.
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